{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Unconditional stochastic simulations using Cholesky decomposition\n",
    "\n",
    "The aim of this document is to test the generation of stochastic realizations of a Gaussian process using Cholesky decomposition as coded in the simulation package. \n",
    "\n",
    "\n",
    "Author: P. Renard / December 2017"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import geostat as geo"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##  Defines the geometry of the problem\n",
    "\n",
    "For this example, the geometry that is considered is a one dimensional regular and cartesian grid. The number of nodes $n$ is given."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "n = 139*2  # Number of nodes\n",
    "\n",
    "x = np.linspace(0, 200, n)  # Creates n regular coordinates from 0 to 200\n",
    "X = np.zeros((n,2))         # Assembles x values as a 2 D coordinate matrix \n",
    "X[:,0] = x"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Generates n simulations\n",
    "\n",
    "Here we use the simulation function defined outside of this worksheet.\n",
    "\n",
    "If one uses a gaussian covariance and a range that is too large, then the covariance matrix may not be exactly definite positive and the Cholesky decomposition may not work.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "covar = geo.Covariance(rang=10,sill=1,typ='spherical')\n",
    "\n",
    "y = simulation.unconditionnal_lu( X, covar,   nsimuls=3 )"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Plot the simulations\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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LPH+u1dJTCuHkjHyObeqXtjdaG8SEsEJEv7hLxuprGFRu18soqhAUIZia+bJSCO+/7/18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\nAPx/wJqkLpMziDIAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x19301e98a90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots( )\n",
    "ax.plot(x, y)\n",
    "ax.set(xlabel='x', ylabel='Z(x)')\n",
    "#       title='Example of LU simulation')\n",
    "ax.grid()\n",
    "\n",
    "plt.savefig('tmp.png',pad_inches='tight')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
